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pro vyhledávání: '"Tsougkas, Konstantinos"'
Autor:
Tsougkas, Konstantinos
The spectral zeta function of the Laplacian on self-similar fractal sets has been previously studied and shown to meromorphically extend to the complex plane. In this work we establish under certain conditions a relationship between the logarithm of
Externí odkaz:
http://arxiv.org/abs/2312.14802
Akademický článek
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Publikováno v:
Lett Math Phys (2018) 108: 1563
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar fractafolds, in the sense of Strichartz. These functions are known to meromorphically extend to the entire complex plane, and the locations of their
Externí odkaz:
http://arxiv.org/abs/1610.10062
Autor:
Tsougkas, Konstantinos
We prove that the harmonic extension matrices for the level-k Sierpinski Gasket are invertible for every k>2. This has been previously conjectured to be true by Hino in [6] and [7] and tested numerically for k<50. We also give a necessary condition f
Externí odkaz:
http://arxiv.org/abs/1605.04117
Using the method of spectral decimation and a modified version of Kirchhoff's Matrix-Tree Theorem, a closed form solution to the number of spanning trees on approximating graphs to a fully symmetric self-similar structure on a finitely ramified fract
Externí odkaz:
http://arxiv.org/abs/1602.01996
Autor:
Tsougkas, Konstantinos
We study the asymptotic complexity constant of the sequence of approximating graphs to a fully symmetric self-similar structure on a finitely ramified fractal $K$. We show how full symmetry implies existence of the asymptotic complexity constant and
Externí odkaz:
http://arxiv.org/abs/1510.08511
Autor:
Öberg, Anders, Tsougkas, Konstantinos
We extend and survey results in the theory of analysis on fractal sets from the standard Laplacian on the Sierpi\'nski gasket to the energy Laplacian, which is defined weakly by using the Kusuoka energy measure. We also extend results from the Sierpi
Externí odkaz:
http://arxiv.org/abs/1411.2371
Autor:
Tsougkas, Konstantinos
The recent field of analysis on fractals has been studied under a probabilistic and analytic point of view. In this present work, we will focus on the analytic part developed by Kigami. The fractals we will be studying are finitely ramified self-simi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::95b41e4a8e96bcf58d385cb97718e8b5
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-369918
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-369918
Akademický článek
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